Using the basic hypergeometric representation [1]} for \({_r}\phi _s\) , it is very well known that (REF ) can be written as
\(J_{\nu }(z;q):=z^{\nu }\frac{\big (q^{\nu +1};q\big )_{\infty }}{(q;q)_{\infty }} {_1}\phi _1\big (0;q^{\nu +1};q,qz^2\big ) .\) 
